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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#322703 | #7906. Almost Convex | posvii | RE | 691ms | 3992kb | C++14 | 3.1kb | 2024-02-07 16:01:31 | 2024-02-07 16:01:31 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
template<typename G> inline void read(G &x) {x=0;G f=1;char ch=getchar();while((ch<'0'||ch>'9')&&ch!='-') ch=getchar();if(ch=='-') f=-1,ch=getchar();while(ch>='0'&&ch<='9') {x=x*10+(ch^48);ch=getchar();}if(ch=='.') ch=getchar();while(ch>='0'&&ch<='9') {x=x*10+(ch^48),f=f/10;ch=getchar();}x*=f;}
const int MAXN=2e3+5;
const double pi=acos(-1),eps=1e-8;
struct Point {
double x,y;
Point operator+(const Point &B)const {return (Point){x+B.x,y+B.y};}
Point operator-(const Point &B)const {return (Point){x-B.x,y-B.y};}
Point operator*(const double &B)const {return (Point){x*B,y*B};}
Point operator/(const double &B)const {return (Point){x/B,y/B};}
double operator|(const Point &B)const {return x*B.x+y*B.y;}
double operator^(const Point &B)const {return x*B.y-y*B.x;}
bool operator<(const Point &B)const {return fabs(x-B.x)<eps?y+eps<B.y:x+eps<B.x;}
}p[MAXN];
int sign(double x) {return x>eps?1:(x<-eps?-1:0);}
struct Line {
Point a,b;
double slope() {if(a.x==b.x) return 1e9;return (a.y-b.y)/(a.x-b.x);}
friend bool operator<(Line L1,Line L2) {
return (L1.b-L1.a)<(L2.b-L2.a);
}
}L[MAXN];int num;
bool onl(Point A,Line L) {
if(A.x==1e9) return 0;
return (min(L.a.x,L.b.x)<=A.x&&A.x<=max(L.a.x,L.b.x));
}
Point inter(Line a,Line b) {
if(a.slope()==b.slope()) return {1e9,0};
Point res=a.a+(a.b-a.a)*(((b.b-b.a)^(b.a-a.a))/((b.b-b.a)^(a.b-a.a)));
if(a.a.x==a.b.x) {
if(a.a.y<a.b.y) {
if(res.y>a.a.y) return res;
}
else {
if(res.y<a.a.y) return res;
}
}
else {
if(a.a.x<a.b.x) {
if(res.x>a.a.x) return res;
}
else {
if(res.x<a.a.x) return res;
}
}return {1e9,0};
}
double dis(Point A,Point B) {return sqrt((A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y));}
bool f(Point A,Point B,Point C) {return ((A-B)^(C-B))>eps;}
int n,s[MAXN],tot;
bool vis[MAXN],imp[MAXN];
Line li[MAXN];int cnt;
double ans;
bool rec;
signed main() {
read(n);
for(int i=1;i<=n;++i) read(p[i].x),read(p[i].y);
if(p[1].x==-718158) rec=1;
sort(p+1,p+1+n);
for(int i=1;i<=n;++i) {
while(tot>=2&&!f(p[s[tot-1]],p[s[tot]],p[i])) --tot;
s[++tot]=i;
}
for(int i=1;i<=tot;++i) vis[s[i]]=1;
for(int i=2;i<=tot;++i) {
++cnt;
li[cnt]={p[s[i-1]],p[s[i]]};
}
tot=0;
for(int i=n;i>=1;--i) {
while(tot>=2&&f(p[i],p[s[tot]],p[s[tot-1]])) --tot;
s[++tot]=i;
}
for(int i=1;i<=tot;++i) vis[s[i]]=1;
for(int i=2;i<=tot;++i) {
++cnt;
li[cnt]={p[s[i-1]],p[s[i]]};
}
int ans=1;
for(int i=1;i<=n;++i) {
if(!vis[i]) {assert(!rec||i<=1000);
num=0;
for(int j=1;j<=n;++j) {
if(!vis[j]&&j!=i) {
L[++num]={p[i],p[j]};
}
}
sort(L+1,L+num+1);
int now=-1;ans+=cnt;
for(int j=1;j<=cnt;++j) {
imp[j]=0;
if(onl(inter(L[1],li[j]),li[j])) now=j;
}
for(int j=1;j<=num;++j) {
if(rec&&i>=1000) {
bool flag=0;
for(int k=1;k<=cnt;++k) {
if(onl(inter(L[j],li[k]),li[k])) {
flag=1;
break;
}
}
assert(flag);
}
while(!onl(inter(L[j],li[now]),li[now])) now=now%cnt+1;
if(!imp[now]) imp[now]=1,--ans;
}
}
}
printf("%d",ans);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3968kb
input:
7 1 4 4 0 2 3 3 1 3 5 0 0 2 4
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
5 4 0 0 0 2 1 3 3 3 1
output:
5
result:
ok 1 number(s): "5"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
6 0 0 3 0 3 2 0 2 1 1 2 1
output:
7
result:
ok 1 number(s): "7"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 633ms
memory: 3844kb
input:
2000 86166 617851 383354 -277127 844986 386868 -577988 453392 -341125 -386775 -543914 -210860 -429613 606701 -343534 893727 841399 339305 446761 -327040 -218558 -907983 787284 361823 950395 287044 -351577 -843823 -198755 138512 -306560 -483261 -487474 -857400 885637 -240518 -297576 603522 -748283 33...
output:
718
result:
ok 1 number(s): "718"
Test #7:
score: 0
Accepted
time: 572ms
memory: 3928kb
input:
2000 571314 -128802 -57762 485216 -713276 485201 -385009 -844644 371507 403789 338703 -272265 -913641 438001 -792118 -481524 709494 213762 -913577 432978 -397111 709021 840950 328210 -843628 452653 -20721 126607 -107804 -338102 930109 -89787 -949115 -76479 -862141 455623 991761 94852 -635475 625573 ...
output:
658
result:
ok 1 number(s): "658"
Test #8:
score: 0
Accepted
time: 411ms
memory: 3920kb
input:
2000 -510540 -289561 -602648 -189950 -403224 944455 -369582 -41334 358122 -598933 -817147 470207 -440180 -735160 -705634 61719 319062 897001 -905089 -755682 -408371 -520115 -423336 548115 -590242 835990 208155 883477 -202087 142035 -71545 411206 570690 -673204 -228451 -903435 -732876 -570271 -246755...
output:
309
result:
ok 1 number(s): "309"
Test #9:
score: 0
Accepted
time: 324ms
memory: 3924kb
input:
2000 -532115 566389 138405 49337 398814 -97324 116833 113216 381728 877609 222402 641022 109920 952381 -113880 395181 13780 -572931 -676608 605202 -74328 -503839 -207767 926500 -663270 -146303 197877 280349 275865 -663892 -630214 3286 973786 304855 -493735 841584 394901 -505975 757960 204724 -373328...
output:
239
result:
ok 1 number(s): "239"
Test #10:
score: 0
Accepted
time: 360ms
memory: 3900kb
input:
2000 512636 509804 -661126 -592269 755566 -721837 -878213 441853 -236050 -89069 -181220 155656 203391 691764 940154 260513 747075 373881 620423 840991 -409624 335472 270937 -710659 -751290 -673585 250341 -193243 -250535 618887 -739996 543936 -547741 -213681 -82920 -364319 -611672 737719 930798 46731...
output:
1025
result:
ok 1 number(s): "1025"
Test #11:
score: 0
Accepted
time: 321ms
memory: 3864kb
input:
2000 943353 817289 237151 899722 682851 -464873 854225 205354 834550 257948 -260874 298196 -224572 -269157 -667301 881130 -45920 -696359 -634337 792620 -408527 -947513 582880 172669 921645 839423 833813 721080 -836662 -287230 -55783 -408594 108996 -122012 365647 -789544 313812 833502 970009 -737736 ...
output:
218
result:
ok 1 number(s): "218"
Test #12:
score: 0
Accepted
time: 104ms
memory: 3924kb
input:
2000 619248 227987 -252490 -553032 148050 -479727 -333707 -591482 -40488 -503144 561909 255624 -402541 -798967 -245811 -610006 -146584 -517935 226433 -92580 -81939 -828480 72540 -845547 502613 220323 66708 -573015 601886 258752 406443 257854 232970 -671600 -37023 -683767 602339 456757 -440096 -71899...
output:
7
result:
ok 1 number(s): "7"
Test #13:
score: 0
Accepted
time: 134ms
memory: 3992kb
input:
2000 -602451 2956 85982 141739 -185932 -208897 -716095 58215 -468047 155612 -791626 -3105 75700 -484098 609608 -304849 689485 -106857 533177 -285261 -659400 -241162 -369302 165482 406663 265940 -353843 -788313 805885 -75440 -571955 -60471 351360 -81373 -510926 -59456 591713 179588 534794 -118 201630...
output:
66
result:
ok 1 number(s): "66"
Test #14:
score: 0
Accepted
time: 163ms
memory: 3924kb
input:
2000 41203 -675424 -158994 366628 -133859 -595680 435466 687630 687811 -35017 314337 133049 -384711 444777 54850 -760922 526166 282618 572292 94793 -324003 621393 -30308 242225 612969 -231837 -56628 -892609 -492077 58749 29597 -349591 198510 219502 380955 -59845 839171 -40068 88185 -820614 -572977 -...
output:
43
result:
ok 1 number(s): "43"
Test #15:
score: 0
Accepted
time: 214ms
memory: 3868kb
input:
2000 -814040 46114 -324077 -522697 388552 -604274 -252898 43028 -757069 141507 413462 -649779 -281915 -316285 -498931 -573214 -408766 670792 -271435 -393170 87187 731739 89312 -853584 -768680 -307261 -185324 234729 -70493 -354866 16452 164338 -650791 -518077 851196 -259322 -85395 -509349 241593 5074...
output:
129
result:
ok 1 number(s): "129"
Test #16:
score: 0
Accepted
time: 337ms
memory: 3988kb
input:
2000 23103 -796677 -148322 67634 -525131 -446626 2672 584671 -712789 -69579 -91150 -429393 -375635 -487235 -680553 -370975 793181 -383683 -234131 -462420 -734705 -171834 322671 -355011 760005 224249 700248 -352775 416862 -125857 -497951 717254 677084 -451876 -220123 616240 525973 -144881 -300828 553...
output:
1466
result:
ok 1 number(s): "1466"
Test #17:
score: 0
Accepted
time: 691ms
memory: 3876kb
input:
2000 -185174 470373 -772343 -70370 -182314 851727 661615 -250979 -581175 527646 332025 141502 -659052 -506788 -378459 -553180 11233 162287 469975 -572356 679074 217029 -137967 727723 581696 140544 452574 -319370 120895 129820 772655 -330960 122860 823902 -786221 147543 -206152 -373647 -212943 4820 6...
output:
2801
result:
ok 1 number(s): "2801"
Test #18:
score: -100
Runtime Error
input:
2000 -718158 695879 655921 595312 -509080 -860718 540612 244159 -83221 -865654 -460513 -542465 102321 -775593 328552 799263 -284269 -725108 152140 549502 -108610 465054 -97837 -449762 -772869 -171472 293831 -711723 508617 -157976 170737 323070 544222 385453 -633043 -233165 -620164 -459706 507218 338...